推 ketsu1109 :已收入精華區 04/26 23:55
課程名稱︰ 控制系統
課程性質︰ 電機系系選修
課程教師︰ 陳永耀
開課學院： 電資學院
開課系所︰ 電機工程學系
考試日期（年月日）︰ 2010/04/22
考試時限（分鐘）： 2:20pm-5:20pm
是否需發放獎勵金： 是
（如未明確表示，則不予發放）
試題 :
(Note: All answers should provide adequate explanations. Simple "yes" or "no"
will not earn points)
1. Please five an example of biological or social closed-loop control systems,
and draw its block diagrams with the basic building blocks. (20%)
(Note: please specify all the variables with typical notations and their
corresponding meanings in your example. For example, the output "y" maybe
the "velocity" of the motor.)
2. (a)please give the description on the design procedures of a PID controller.
(b)Specifically, what should we do if the PID control system is having a
more-than expected steady-state error? (10% each)
3. Given the desgin specification for a closed-loop control system:
i)overshoot<15% ii)rise time<0.1s iii)settling time <3s
please identify the corresponding specifications in terms of
a)the damping ratio and the neutral frequency.(5%)
b)the pole locations(5%)
c)for the typical P-control feedback control system with open-loop transfer
function of G(s)=100/(s^2+10s+100)(s+100) and K=50, please estimate the
specifications (i)(ii)(iii) and give the corresponding damping ratio,
neutral frequency, and pole locations. (5%)
d)please answer as in (c) except with K=2000 (5%)
4. Please specify the stability conditions of the following systems with pole/
zero locations at the following positions:
a) poles at -1,-2+10j,-2-10j; zeros at -2,-10 (5%)
b) -1, 2+10j, 2-10j; 2, 10 (5%)
c) -1,-2+1-j,-2-10j,0; -2, 10 (5%)
d) -1,-2+10j,-2-10j,0,0; 2,-10 (5%)
5. Given the close-loop system in figure1, please answer the following
questions:
a) please derive the transfer function Y(s)/R(s) (4%)
b) please determine if the stability of the closed-loop system with K=1 8%
C) please determine if the stability of the closed-loop system with K=10 8%
┌───────────────┐
＋│ │
┌─┐ ＋ ↓ 6 s-4 │ ＋
│１├─→Σ─→K─→Σ─→ ──── ─┬→ ─── ─┴─→Σ──┬→ Y(s)
└─┘ ↑－ ＋ s^2+10s+40 │ s+1 ↑＋ │
R(s) │ │ 1 │ │
│ └→ ───── ──┘ │
│ 2s^2+4s+4 │
│ │
└───────────────────────────┘
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